30-60-90 Special Right Triangle Practice

Front

What is a 30-60-90 triangle?

Back

A special right triangle where the angles are 30 degrees, 60 degrees, and 90 degrees.

Front

What is the ratio of the sides in a 30-60-90 triangle?

Back

The ratio of the sides is 1 : √3 : 2, where 1 is the length of the short leg, √3 is the length of the long leg, and 2 is the length of the hypotenuse.

Front

How do you find the length of the long leg in a 30-60-90 triangle?

Back

Multiply the length of the short leg by √3.

Front

If the short leg of a 30-60-90 triangle is 4, what is the length of the long leg?

Back

4√3.

Front

If the hypotenuse of a 30-60-90 triangle is 12, what is the length of the short leg?

Back

6.

Front

What is the formula to find the hypotenuse in a 30-60-90 triangle?

Back

Hypotenuse = 2 × (length of the short leg).

Front

If the long leg of a 30-60-90 triangle is 3√3, what is the length of the short leg?

Back

3.

Front

How do you find the hypotenuse if you know the long leg?

Back

Hypotenuse = (long leg) / √3 × 2.

Front

What is the length of the hypotenuse if the short leg is 5?

Back

10.

Front

If the short leg is x, what is the length of the hypotenuse?

Back

2x.